Elliptic curve isogeny class data - 4158.j

Formats: - HTML - YAML - JSON - 2026-07-03T21:02:01.170601

• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, -1, 0, 1, 2, 0, -1, -1, 0, -2, -1, 0, -1, 1, 0, 1, -1, 0, 6, 2], 'aplist': [-1, 0, 2, -1, -1, -1, -1, 6, 7, 1, -5, -8, 10, 7, -10, 9, -3, -2, 9, 1, 4, -12, 12, -3, 10], 'class_deg': 1, 'class_size': 1, 'conductor': 4158, 'isogeny_matrix': [[1]], 'lmfdb_iso': '4158.j', 'trace_hash': 1470375410199925015}
• lmfdb_iso 4158.j does not appear in ec_padic
• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  intrinsic_torsion	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '4158g', 'Clabel': '4158g1', 'Cnumber': 1, 'abc_quality': 0.9853344340968361, 'absD': 34962671665152, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 168, 'ainvs': [1, -1, 0, -6846, -356716], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 4158, 'degree': 12096, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2946581935286298437360134805', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1], 'jinv': [-1802929676211, 1776287744], 'lmfdb_iso': '4158.j', 'lmfdb_label': '4158.j1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -6846, -356716], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['168.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 189], [3, 2, 77], [7, 8, 297], [11, 12, 378]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.47069897702754757518957955281', 'prec': 103}, 'szpiro_ratio': 4.692559344536613, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}